Generic properties of continuous differential inclusions and the Tonelli method of approximate solutions

DOI10.1007/s11228-012-0222-3zbMath1329.34107OpenAlexW1977605805MaRDI QIDQ491225

Francesco S. de Blasi, Simeon Reich, Zaslavski, Alexander J.

Publication date: 24 August 2015

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-012-0222-3

zbMATH Keywords

differential inclusioncomplete metric spaceBaire categoryTonelli approximate solutionVolterra set-integral problem

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Evolution inclusions (34G25)

Cites Work

• On Peano's theorem in Banach spaces
• Continuous selections. I
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• Differential inclusions in Banach spaces
• Peano's theorem in Banach spaces
• Averaging the controlled motion equations in a metric space
• Measures of noncompactness in metric fixed point theory
• Generic existence of fixed points for set-valued mappings
• The generic property of existence of solutions of differential equations in Banach space
• Integro-differential equations with multivalued solutions
• Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y)
• Generic properties of infinite system of integral equations in Banach spaces
• Generic Existence of a Solution for a Differential Equation in a Scale of Banach Spaces
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side
• Numerical Analysis and Its Applications
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